Results 61 to 70 of about 1,124 (219)

Hankel determinant solution for elliptic sequence

Linear Algebra and its Applications, 2015
We show that the Hankel determinants of a generalized Catalan sequence satisfy the equations of the elliptic sequence. As a consequence, the coordinates of the multiples of an arbitrary point on the elliptic curve are expressed by the Hankel determinants.
openaire   +2 more sources

On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley   +1 more source

Sharp Second-Order Hankel Determinants Bounds for Alpha-Convex Functions Connected with Modified Sigmoid Functions

Axioms
The study of the Hankel determinant generated by the Maclaurin series of holomorphic functions belonging to particular classes of normalized univalent functions is one of the most significant problems in geometric function theory.
Muhammad Abbas, Reem K. Alhefthi, Daniele Ritelli, Muhammad Arif   +3 more
doaj   +1 more source

Coefficient Inequalities of q-Bi-Univalent Mappings Associated with q-Hyperbolic Tangent Function

Fractal and Fractional, 2023
The present study introduces a new family of analytic functions by utilizing the q-derivative operator and the q-version of the hyperbolic tangent function.
Timilehin Gideon Shaba, Serkan Araci, Jong-Suk Ro, Fairouz Tchier, Babatunde Olufemi Adebesin, Saira Zainab   +5 more
doaj   +1 more source

On Hankel and Inverse Hankel Determinants of Order Two for Some Subclasses of Analytic Functions [PDF]

, 2023
Nehad Ali Shah, Nasser Bin Turki, S.-H. Lee, Seonhui Kang, Jae Dong Chung   +4 more
openalex   +1 more source

Multipolar Resonances in Electro‐Optic Metasurfaces with Moderate Refractive Index

Advanced Photonics Research, Volume 7, Issue 2, February 2026.
Electro‐optic nanoantennas with moderate refractive indices of 2.3 to 3.0 are numerically shown to sustain strong multipolar resonances, enabling efficient light confinement and EO tuning. Multipolar modes of even parity are most sensitive to variations in the refractive index.
Viktoriia E. Babicheva, Mariacristina Rumi   +1 more
wiley   +1 more source

Hankel Determinants of q-Stirling Numbers

The Electronic Journal of Combinatorics
In this paper, we consider the q-analogue of the Hankel determinants of the Bell numbers and give combinatorial proofs of these results. We show that the Hankel determinants of the q-Stirling numbers can be simplified to a determinant that is almost upper-triangular, and then construct sign-reversing involutions on certain sets of RG-words that
Cai, Yue, Yang, Ting
openaire   +2 more sources

Tunable Skyrmion, Meron, and Skyrmion Bag Textures in Surface Phonon Polariton Lattices

Nanophotonics, Volume 15, Issue 4, 24 February 2026.
We present surface phonon polariton skyrmions, merons, and skyrmion bags on SiC membranes and study the influence on their topology when tuning the excitation wavelength. We present simulation results on the bubble‐to‐Néel‐type transition of the topological textures in the electric field and spin angular momentum and study singularity‐type electric ...
Julian Schwab, Florian Mangold, Bettina Frank, Timothy J. Davis, Harald Giessen   +4 more
wiley   +1 more source

Tackling High Dimensionality in QSP: Guiding Model Order Reduction With Index Analysis

CPT: Pharmacometrics &Systems Pharmacology, Volume 15, Issue 2, February 2026.
ABSTRACT Quantitative systems pharmacology (QSP) models offer a useful platform to integrate drug pharmacology with knowledge about biological mechanisms across multiple scales and data sources into a unified quantitative framework. This makes them invaluable to address many relevant questions in drug research and development.
Johannes Tillil, Wilhelm Huisinga, Jane Knöchel   +2 more
wiley   +1 more source

A Subgrid‐Scale Parameterization of Wave‐Structure Interactions for Spectral Wave Models: Idealized Simulations in Offshore Wind Farm Conditions

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 2, February 2026.
Abstract Extensive offshore renewable energy installations have raised concerns about their environmental impacts. These concerns highlight the need for high fidelity modeling of conditions within wind‐farm regions, where wave–structure interactions through reflection, diffraction, and dissipation reshape local and regional wave dynamics, thereby ...
Biao Zhao, Erik Sahlée, Jianting Du, Lichuan Wu   +3 more
wiley   +1 more source